Find the area of the region bounded by the curves x=y2 and x=1-y2. Which of the following options correctly calculates the area?

A) ∫(from -1 to 1) (1-y2 - y2) dy
B) ∫(from -1 to 1) (y2 - (1-y2)) dy
C) ∫(from -1 to 1) (1-y2 + y2) dy
D) ∫(from -1 to 1) (y2 + (1-y2)) dy